11800006848 has 672 divisors, whose sum is σ = 43846333440. Its totient is φ = 2956124160.

The previous prime is 11800006789. The next prime is 11800006877. The reversal of 11800006848 is 84860000811.

11800006848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×11800006848² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 65193318 + ... + 65193498.

It is an arithmetic number, because the mean of its divisors is an integer number (65247520).

Almost surely, 2^11800006848 is an apocalyptic number.

11800006848 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11800006848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21923166720).

11800006848 is an abundant number, since it is smaller than the sum of its proper divisors (32046326592).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11800006848 is a wasteful number, since it uses less digits than its factorization.

11800006848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The spelling of 11800006848 in words is "eleven billion, eight hundred million, six thousand, eight hundred forty-eight".